Q. 3 D4.6( 5 Votes )

Represent the following situations mathematically:

The sum of the squares of two positive integers is 117. If the square of the smaller number equals four times the larger number, we need to find the integers.

Answer :

Let ‘x’ and ‘y’ be the smaller and larger integer respectively.

x2 + y2 = 117.


[ The sum of the squares of two positive integers is 117]


x2 = 4y


[∵ the square of the smaller number equals four times the larger number.]


y2 + 4y – 117 = 0


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Get To Know About Quadratic Formula42 mins
Quiz | Knowing the Nature of Roots44 mins
Take a Dip Into Quadratic graphs32 mins
Foundation | Practice Important Questions for Foundation54 mins
Nature of Roots of Quadratic EquationsFREE Class
Getting Familiar with Nature of Roots of Quadratic Equations51 mins
Quadratic Equation: Previous Year NTSE Questions32 mins
Champ Quiz | Quadratic Equation33 mins
Champ Quiz | Quadratic Equation48 mins
Balance the Chemical Equations49 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses